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Reduction of order of a (the) differential equation

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  • Reduction of order — is a technique in mathematics for solving second order ordinary differential equations. It is employed when one solution y 1(x) is known and a second linearly independent solution y 2(x) is desired.A Simple ExampleConsider the general second… …   Wikipedia

  • Ordinary differential equation — In mathematics, an ordinary differential equation (or ODE) is a relation that contains functions of only one independent variable, and one or more of their derivatives with respect to that variable. A simple example is Newton s second law of… …   Wikipedia

  • Reduction — Reduction, reduced, or reduce may refer to:cienceChemistry*Reduction – chemical reaction in which atoms have their oxidation number (oxidation state) changed. **Reduced gas – a gas with a low oxidation number **Ore reduction: see… …   Wikipedia

  • Differential algebraic equation — In mathematics, differential algebraic equations (DAEs) are a general form of (systems of) differential equations for vector–valued functions x in one independent variable t, where is a vector of dependent variables and the system has as many… …   Wikipedia

  • Spectral theory of ordinary differential equations — In mathematics, the spectral theory of ordinary differential equations is concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation. In his dissertation Hermann Weyl… …   Wikipedia

  • Cauchy-Euler equation — In mathematics, a Cauchy Euler equation (also Euler Cauchy equation) is a linear homogeneous ordinary differential equation with variable coefficients. They are sometimes known as equi dimensional equations. Because of its simple structure the… …   Wikipedia

  • Dirac equation — Quantum field theory (Feynman diagram) …   Wikipedia

  • Riccati equation — In mathematics, a Riccati equation is any ordinary differential equation that has the form: y = q 0(x) + q 1(x) , y + q 2(x) , y^2 It is named after Count Jacopo Francesco Riccati (1676 1754). Reduction to a second order linear equation As… …   Wikipedia

  • oxidation–reduction reaction — ▪ chemical reaction Introduction also called  redox reaction        any chemical reaction in which the oxidation number of a participating chemical species changes. The term covers a large and diverse body of processes. Many oxidation– reduction… …   Universalium

  • Logic and the philosophy of mathematics in the nineteenth century — John Stillwell INTRODUCTION In its history of over two thousand years, mathematics has seldom been disturbed by philosophical disputes. Ever since Plato, who is said to have put the slogan ‘Let no one who is not a geometer enter here’ over the… …   History of philosophy

  • Noise reduction — For sound proofing, see soundproofing. For scientific aspects of noise reduction of machinery and products, see noise control. Noise reduction is the process of removing noise from a signal. All recording devices, both analogue or digital, have… …   Wikipedia

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